采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 7(]F+\A3
%Display the Zernike function Z(n=5,m=1) _!1LV[x!s
clc UH-873AK
clear ;Tnid7:S
a=5;%%%%%%%%%%Z的阶数下标 ld]*J}cw
b=1;%%%%%%%%%%Z的阶数的上标 5c3-?u!
x = -1:0.01:1; ,93Uji[l
[X,Y] = meshgrid(x,x); T`wDdqWbEG
[theta,r] = cart2pol(X,Y); IrQ.[?C
idx = r<=1; Xi%Og\vm5
z = nan(size(X)); V3ht:>c9qs
z(idx) = zernfun(a,b,r(idx),theta(idx)); }P?e31@:
figure(1) "7y,d%H
pcolor(x,x,z), shading interp &*>.u8:r
axis square, colorbar H;4QuB'^
xlabel('X'); 2j8GJU/L
ylabel('Y'); dscah0T
title(['Zernike function Z^a_b','(r,\theta)']) \4wMv[;7
figure(2) _M/N_Fm
mesh(x,x,z) d~qQ_2M[G
xlabel('X'); F:q4cfL6
ylabel('Y'); sR1_L/.
title(['Zernike function Z^a_b','(r,\theta)'])